Finding the Third Proportional to 1,249.17 and 1,828.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,249.17 : 1,828.20 = 1,828.20 : x
2. Step 2: Convert to fraction form
   1,249.17/1,828.20 = 1,828.20/x
3. Step 3: Cross multiply
   1,249.17x = 1,828.20 × 1,828.20
4. Step 4: Simplify right side
   1,249.17x = 3,342,298.10
5. Step 5: Solve for x
   x = 3,342,298.10/1,249.17
6. Step 6: Final answer
   x = 2,675.61